Finding the Third Proportional to 5,946 and 13,026

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946 : 13,026 = 13,026 : x
2. Step 2: Convert to fraction form
   5,946/13,026 = 13,026/x
3. Step 3: Cross multiply
   5,946x = 13,026 × 13,026
4. Step 4: Simplify right side
   5,946x = 169,676,676
5. Step 5: Solve for x
   x = 169,676,676/5,946
6. Step 6: Final answer
   x = 28,536.27